What is the solution to the system of equations? y = -5x + 6 and y = -3x - 4

Solution:

y = -5x + 6 … (1)

y = -3x - 4 … (2)

Let us solve the given linear equations.

As the LHS is same equate both RHS

-5x + 6 = -3x - 4

By further calculation

-5x + 3x = -4 - 6

-2x = -10

Divide both sides by -2

x = 5

Substitute the value of x in equation (1)

y = - 5 (5) + 6

y = - 25 + 6

y = -19

Therefore, the solution to the system of equations is (5, -19).

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What is the solution to the system of equations? y = -5x + 6 and y = -3x - 4

Summary:

The solution to the system of equations y = -5x + 6 and y = -3x - 4 is (5, -19).